Incorrect. A right triangle is formed in the picture, with the length of the side opposite the angle $\displaystyle\theta\usepackage{cmbright}\Huge\$ equal to 5 feet and the length of the hypotenuse equal to 15 feet. So you can use the sine function to set up an equation:

$\displaystyle{\sin{\theta}}=\frac{{5}}{{15}}\usepackage{cmbright}\Huge\$

You want to know the value of $\displaystyle\theta\usepackage{cmbright}\Huge\$ . That is, you want to know the measure of an angle that gives you a certain sine value. This means you need to find the inverse sine. The correct answer is 19.5.